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Finding the Fourth Proportional to 296,654.76, 409,383.96 and 160,690.20

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Solution

The fourth proportional to 296,654.76, 409,383.96 and 160,690.20 is: 221,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,654.76 : 409,383.96 = 160,690.20 : x
  2. Step 2: Convert to fraction form
    296,654.76/409,383.96 = 160,690.20/x
  3. Step 3: Cross multiply
    296,654.76x = 409,383.96 × 160,690.20
  4. Step 4: Simplify right side
    296,654.76x = 65,783,990,409.19
  5. Step 5: Solve for x
    x = 65,783,990,409.19/296,654.76
  6. Step 6: Final answer
    x = 221,752.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.